meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"h": "a + 19", "q": "h + 19", "e": "q + 13", "x": "e + 19", "v": "x + 4", "g": "v + 9", "r": "a + 9", "w": "r + 13", "t": "w + 17", "n": "t + 2", "j": "n + 13", "l": "j + 9", "a": 19}, "premises": {"a": 19}, "target": "g"}, "answer": {"steps": [["v", "x + 4", "x + 13"], ["x", "e + 19", "e + 32"],... | 100 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 2; v = x + 4; e = q + 13; h = a + 19; a = 19; w = r + 13; j = n + 13; x = e + 19; r = a + 9; t = w + 17; q = h + 19; l = j + 9; g = v + 9. If a = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 4 to g, which gives g = x + 13.\n2. Substitute x = e + 19 to g, which gives g = e + 32.\n3. Substitute e = q + 13 to g, which gives g = q + 45.\n4. Substitute q = h + 19 to g, which gives g = h + 64.\n5. Substitute h = ... |
{"problem": {"rules": {"e": "o + 10", "w": "e + 12", "j": "w + 15", "p": "j + 20", "b": "p + 9", "u": "b + 8", "l": "o + 12", "a": "l + 14", "m": "a + 5", "n": "m + 2", "g": "n + 17", "x": "g + 6", "o": 10}, "premises": {"o": 10}, "target": "u"}, "answer": {"steps": [["b", "p + 9", "p + 17"], ["p", "j + 20", "j + 37"],... | 101 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 6; b = p + 9; n = m + 2; a = l + 14; o = 10; g = n + 17; u = b + 8; p = j + 20; e = o + 10; m = a + 5; w = e + 12; l = o + 12; j = w + 15. If o = 10, what is the resulting value of u?",
"role": "use... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 9 to u, which gives u = p + 17.\n2. Substitute p = j + 20 to u, which gives u = j + 37.\n3. Substitute j = w + 15 to u, which gives u = w + 52.\n4. Substitute w = e + 12 to u, which gives u = e + 64.\n5. Substitute e = ... |
{"problem": {"rules": {"x": "w + 7", "v": "x + 9", "m": "v + 9", "h": "m + 1", "i": "h + 13", "y": "i + 10", "f": "w + 13", "d": "f + 14", "s": "d + 5", "o": "s + 15", "t": "o + 9", "c": "t + 20", "w": 5}, "premises": {"w": 5}, "target": "y"}, "answer": {"steps": [["x", "w + 7", 12], ["v", "x + 9", 21], ["m", "v + 9", ... | 102 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 13; h = m + 1; s = d + 5; y = i + 10; v = x + 9; t = o + 9; c = t + 20; f = w + 13; m = v + 9; w = 5; o = s + 15; x = w + 7; d = f + 14. If w = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = w + 7, which gives x = 12.\n2. Compute v using v = x + 9, which gives v = 21.\n3. Compute m using m = v + 9, which gives m = 30.\n4. Compute h using h = m + 1, which gives h = 31.\n5. Compute i using i = h + 13, which ... |
{"problem": {"rules": {"o": "u + 8", "c": "o + 10", "k": "c + 3", "s": "k + 17", "g": "s + 16", "m": "g + 3", "b": "u + 17", "h": "b + 5", "l": "h + 12", "j": "l + 20", "p": "j + 10", "a": "p + 16", "u": 1}, "premises": {"u": 1}, "target": "m"}, "answer": {"steps": [["o", "u + 8", 9], ["c", "o + 10", 19], ["k", "c + 3"... | 103 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 1; c = o + 10; j = l + 20; m = g + 3; b = u + 17; a = p + 16; o = u + 8; p = j + 10; s = k + 17; h = b + 5; k = c + 3; l = h + 12; g = s + 16. Given that u = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = u + 8, which gives o = 9.\n2. Compute c using c = o + 10, which gives c = 19.\n3. Compute k using k = c + 3, which gives k = 22.\n4. Compute s using s = k + 17, which gives s = 39.\n5. Compute g using g = s + 16, which... |
{"problem": {"rules": {"y": "f + 6", "g": "y + 7", "o": "g + 2", "w": "o + 16", "i": "w + 18", "x": "i + 18", "e": "f + 10", "t": "e + 18", "q": "t + 2", "p": "q + 10", "k": "p + 18", "z": "k + 9", "f": 9}, "premises": {"f": 9}, "target": "x"}, "answer": {"steps": [["y", "f + 6", 15], ["g", "y + 7", 22], ["o", "g + 2",... | 104 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 7; q = t + 2; e = f + 10; o = g + 2; z = k + 9; t = e + 18; k = p + 18; w = o + 16; y = f + 6; x = i + 18; f = 9; p = q + 10; i = w + 18. Given that f = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = f + 6, which gives y = 15.\n2. Compute g using g = y + 7, which gives g = 22.\n3. Compute o using o = g + 2, which gives o = 24.\n4. Compute w using w = o + 16, which gives w = 40.\n5. Compute i using i = w + 18, which... |
{"problem": {"rules": {"q": "w + 14", "b": "q + 9", "a": "b + 17", "g": "a + 1", "k": "g + 10", "f": "k + 1", "z": "w + 7", "v": "z + 14", "p": "v + 15", "l": "p + 12", "o": "l + 10", "r": "o + 5", "w": 5}, "premises": {"w": 5}, "target": "f"}, "answer": {"steps": [["k", "g + 10", "g + 11"], ["g", "a + 1", "a + 12"], [... | 105 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 17; b = q + 9; w = 5; g = a + 1; l = p + 12; q = w + 14; f = k + 1; r = o + 5; z = w + 7; k = g + 10; o = l + 10; v = z + 14; p = v + 15. Given that w = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 10 to f, which gives f = g + 11.\n2. Substitute g = a + 1 to f, which gives f = a + 12.\n3. Substitute a = b + 17 to f, which gives f = b + 29.\n4. Substitute b = q + 9 to f, which gives f = q + 38.\n5. Substitute q = w... |
{"problem": {"rules": {"k": "m + 3", "z": "k + 14", "c": "z + 2", "g": "c + 19", "o": "g + 10", "a": "o + 19", "e": "m + 13", "l": "e + 17", "q": "l + 12", "p": "q + 15", "i": "p + 20", "b": "i + 19", "m": 12}, "premises": {"m": 12}, "target": "a"}, "answer": {"steps": [["o", "g + 10", "g + 29"], ["g", "c + 19", "c + 4... | 106 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 20; l = e + 17; o = g + 10; c = z + 2; q = l + 12; e = m + 13; m = 12; a = o + 19; z = k + 14; g = c + 19; b = i + 19; k = m + 3; p = q + 15. If m = 12, what is the resulting value of a?",
"role": "... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 10 to a, which gives a = g + 29.\n2. Substitute g = c + 19 to a, which gives a = c + 48.\n3. Substitute c = z + 2 to a, which gives a = z + 50.\n4. Substitute z = k + 14 to a, which gives a = k + 64.\n5. Substitute k = ... |
{"problem": {"rules": {"e": "l + 6", "h": "e + 17", "p": "h + 11", "x": "p + 16", "n": "x + 10", "c": "n + 19", "t": "l + 12", "s": "t + 5", "k": "s + 18", "u": "k + 1", "f": "u + 20", "z": "f + 3", "l": 8}, "premises": {"l": 8}, "target": "c"}, "answer": {"steps": [["e", "l + 6", 14], ["h", "e + 17", 31], ["p", "h + 1... | 107 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 10; c = n + 19; s = t + 5; p = h + 11; z = f + 3; x = p + 16; t = l + 12; h = e + 17; k = s + 18; e = l + 6; f = u + 20; l = 8; u = k + 1. If l = 8, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = l + 6, which gives e = 14.\n2. Compute h using h = e + 17, which gives h = 31.\n3. Compute p using p = h + 11, which gives p = 42.\n4. Compute x using x = p + 16, which gives x = 58.\n5. Compute n using n = x + 10, whi... |
{"problem": {"rules": {"d": "s + 4", "e": "d + 14", "a": "e + 14", "z": "a + 4", "y": "z + 3", "u": "y + 19", "f": "s + 19", "p": "f + 19", "i": "p + 1", "c": "i + 18", "o": "c + 18", "m": "o + 4", "s": 15}, "premises": {"s": 15}, "target": "u"}, "answer": {"steps": [["d", "s + 4", 19], ["e", "d + 14", 33], ["a", "e + ... | 108 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 15; o = c + 18; z = a + 4; f = s + 19; u = y + 19; a = e + 14; i = p + 1; d = s + 4; e = d + 14; p = f + 19; c = i + 18; m = o + 4; y = z + 3. Given that s = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = s + 4, which gives d = 19.\n2. Compute e using e = d + 14, which gives e = 33.\n3. Compute a using a = e + 14, which gives a = 47.\n4. Compute z using z = a + 4, which gives z = 51.\n5. Compute y using y = z + 3, which... |
{"problem": {"rules": {"d": "j + 15", "a": "d + 12", "z": "a + 5", "p": "z + 10", "u": "p + 19", "s": "u + 15", "e": "j + 6", "q": "e + 2", "l": "q + 13", "g": "l + 5", "c": "g + 10", "i": "c + 4", "j": 5}, "premises": {"j": 5}, "target": "s"}, "answer": {"steps": [["u", "p + 19", "p + 34"], ["p", "z + 10", "z + 44"], ... | 109 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 5; q = e + 2; g = l + 5; i = c + 4; e = j + 6; d = j + 15; s = u + 15; u = p + 19; z = a + 5; p = z + 10; l = q + 13; c = g + 10; a = d + 12. Given that j = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 19 to s, which gives s = p + 34.\n2. Substitute p = z + 10 to s, which gives s = z + 44.\n3. Substitute z = a + 5 to s, which gives s = a + 49.\n4. Substitute a = d + 12 to s, which gives s = d + 61.\n5. Substitute d = ... |
{"problem": {"rules": {"z": "w + 17", "n": "z + 19", "h": "n + 12", "x": "h + 17", "k": "x + 3", "r": "k + 13", "g": "w + 18", "t": "g + 11", "c": "t + 10", "l": "c + 11", "o": "l + 18", "q": "o + 10", "w": 20}, "premises": {"w": 20}, "target": "r"}, "answer": {"steps": [["k", "x + 3", "x + 16"], ["x", "h + 17", "h + 3... | 110 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 13; q = o + 10; t = g + 11; g = w + 18; k = x + 3; c = t + 10; h = n + 12; l = c + 11; o = l + 18; z = w + 17; x = h + 17; w = 20; n = z + 19. Given that w = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 3 to r, which gives r = x + 16.\n2. Substitute x = h + 17 to r, which gives r = h + 33.\n3. Substitute h = n + 12 to r, which gives r = n + 45.\n4. Substitute n = z + 19 to r, which gives r = z + 64.\n5. Substitute z = ... |
{"problem": {"rules": {"u": "g + 12", "f": "u + 12", "b": "f + 18", "v": "b + 20", "k": "v + 2", "i": "k + 8", "p": "g + 11", "x": "p + 19", "q": "x + 1", "s": "q + 20", "e": "s + 15", "y": "e + 19", "g": 20}, "premises": {"g": 20}, "target": "i"}, "answer": {"steps": [["k", "v + 2", "v + 10"], ["v", "b + 20", "b + 30"... | 111 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 1; p = g + 11; s = q + 20; y = e + 19; x = p + 19; k = v + 2; f = u + 12; e = s + 15; i = k + 8; g = 20; v = b + 20; b = f + 18; u = g + 12. Given that g = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 2 to i, which gives i = v + 10.\n2. Substitute v = b + 20 to i, which gives i = b + 30.\n3. Substitute b = f + 18 to i, which gives i = f + 48.\n4. Substitute f = u + 12 to i, which gives i = u + 60.\n5. Substitute u = ... |
{"problem": {"rules": {"w": "n + 15", "f": "w + 10", "p": "f + 10", "g": "p + 3", "v": "g + 16", "d": "v + 4", "o": "n + 8", "x": "o + 18", "m": "x + 8", "j": "m + 6", "a": "j + 12", "b": "a + 5", "n": 2}, "premises": {"n": 2}, "target": "d"}, "answer": {"steps": [["v", "g + 16", "g + 20"], ["g", "p + 3", "p + 23"], ["... | 112 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = p + 3; m = x + 8; a = j + 12; w = n + 15; v = g + 16; f = w + 10; x = o + 18; o = n + 8; d = v + 4; n = 2; j = m + 6; b = a + 5; p = f + 10. If n = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 16 to d, which gives d = g + 20.\n2. Substitute g = p + 3 to d, which gives d = p + 23.\n3. Substitute p = f + 10 to d, which gives d = f + 33.\n4. Substitute f = w + 10 to d, which gives d = w + 43.\n5. Substitute w = ... |
{"problem": {"rules": {"f": "g + 11", "z": "f + 10", "e": "z + 4", "d": "e + 11", "m": "d + 20", "i": "m + 18", "x": "g + 4", "a": "x + 3", "w": "a + 19", "h": "w + 20", "j": "h + 3", "c": "j + 10", "g": 20}, "premises": {"g": 20}, "target": "i"}, "answer": {"steps": [["m", "d + 20", "d + 38"], ["d", "e + 11", "e + 49"... | 113 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 11; e = z + 4; z = f + 10; a = x + 3; m = d + 20; f = g + 11; h = w + 20; j = h + 3; w = a + 19; x = g + 4; i = m + 18; g = 20; c = j + 10. If g = 20, what is the resulting value of i?",
"role": "us... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 20 to i, which gives i = d + 38.\n2. Substitute d = e + 11 to i, which gives i = e + 49.\n3. Substitute e = z + 4 to i, which gives i = z + 53.\n4. Substitute z = f + 10 to i, which gives i = f + 63.\n5. Substitute f = ... |
{"problem": {"rules": {"s": "u + 10", "q": "s + 14", "a": "q + 9", "h": "a + 10", "o": "h + 4", "x": "o + 2", "y": "u + 20", "p": "y + 7", "r": "p + 10", "z": "r + 7", "f": "z + 9", "m": "f + 13", "u": 6}, "premises": {"u": 6}, "target": "x"}, "answer": {"steps": [["o", "h + 4", "h + 6"], ["h", "a + 10", "a + 16"], ["a... | 114 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 10; p = y + 7; x = o + 2; m = f + 13; r = p + 10; a = q + 9; q = s + 14; u = 6; h = a + 10; o = h + 4; z = r + 7; y = u + 20; f = z + 9. If u = 6, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 4 to x, which gives x = h + 6.\n2. Substitute h = a + 10 to x, which gives x = a + 16.\n3. Substitute a = q + 9 to x, which gives x = q + 25.\n4. Substitute q = s + 14 to x, which gives x = s + 39.\n5. Substitute s = u ... |
{"problem": {"rules": {"q": "e + 10", "b": "q + 17", "m": "b + 9", "z": "m + 11", "s": "z + 12", "v": "s + 5", "p": "e + 14", "i": "p + 19", "k": "i + 12", "g": "k + 18", "y": "g + 19", "c": "y + 1", "e": 13}, "premises": {"e": 13}, "target": "v"}, "answer": {"steps": [["s", "z + 12", "z + 17"], ["z", "m + 11", "m + 28... | 115 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 12; b = q + 17; v = s + 5; m = b + 9; z = m + 11; e = 13; p = e + 14; k = i + 12; y = g + 19; g = k + 18; c = y + 1; q = e + 10; i = p + 19. If e = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 12 to v, which gives v = z + 17.\n2. Substitute z = m + 11 to v, which gives v = m + 28.\n3. Substitute m = b + 9 to v, which gives v = b + 37.\n4. Substitute b = q + 17 to v, which gives v = q + 54.\n5. Substitute q = ... |
{"problem": {"rules": {"s": "e + 2", "i": "s + 12", "j": "i + 17", "y": "j + 10", "w": "y + 2", "b": "w + 4", "q": "e + 6", "l": "q + 8", "p": "l + 1", "z": "p + 2", "c": "z + 9", "n": "c + 17", "e": 11}, "premises": {"e": 11}, "target": "b"}, "answer": {"steps": [["w", "y + 2", "y + 6"], ["y", "j + 10", "j + 16"], ["j... | 116 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 9; z = p + 2; b = w + 4; n = c + 17; w = y + 2; j = i + 17; q = e + 6; l = q + 8; i = s + 12; e = 11; y = j + 10; s = e + 2; p = l + 1. If e = 11, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 2 to b, which gives b = y + 6.\n2. Substitute y = j + 10 to b, which gives b = j + 16.\n3. Substitute j = i + 17 to b, which gives b = i + 33.\n4. Substitute i = s + 12 to b, which gives b = s + 45.\n5. Substitute s = e... |
{"problem": {"rules": {"o": "v + 14", "j": "o + 20", "t": "j + 16", "d": "t + 4", "x": "d + 14", "p": "x + 8", "n": "v + 10", "k": "n + 9", "f": "k + 20", "q": "f + 7", "l": "q + 20", "s": "l + 11", "v": 4}, "premises": {"v": 4}, "target": "p"}, "answer": {"steps": [["x", "d + 14", "d + 22"], ["d", "t + 4", "t + 26"], ... | 117 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 8; v = 4; t = j + 16; j = o + 20; f = k + 20; l = q + 20; q = f + 7; n = v + 10; x = d + 14; d = t + 4; o = v + 14; k = n + 9; s = l + 11. If v = 4, what is the resulting value of p?",
"role": "user... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 14 to p, which gives p = d + 22.\n2. Substitute d = t + 4 to p, which gives p = t + 26.\n3. Substitute t = j + 16 to p, which gives p = j + 42.\n4. Substitute j = o + 20 to p, which gives p = o + 62.\n5. Substitute o = ... |
{"problem": {"rules": {"b": "w + 10", "i": "b + 12", "l": "i + 15", "y": "l + 1", "e": "y + 8", "g": "e + 12", "f": "w + 4", "m": "f + 13", "c": "m + 6", "r": "c + 9", "p": "r + 14", "j": "p + 14", "w": 12}, "premises": {"w": 12}, "target": "g"}, "answer": {"steps": [["b", "w + 10", 22], ["i", "b + 12", 34], ["l", "i +... | 118 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 4; e = y + 8; i = b + 12; c = m + 6; m = f + 13; g = e + 12; p = r + 14; r = c + 9; j = p + 14; l = i + 15; w = 12; y = l + 1; b = w + 10. If w = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = w + 10, which gives b = 22.\n2. Compute i using i = b + 12, which gives i = 34.\n3. Compute l using l = i + 15, which gives l = 49.\n4. Compute y using y = l + 1, which gives y = 50.\n5. Compute e using e = y + 8, whic... |
{"problem": {"rules": {"h": "p + 12", "f": "h + 8", "v": "f + 20", "d": "v + 19", "q": "d + 2", "r": "q + 2", "t": "p + 1", "a": "t + 20", "g": "a + 1", "o": "g + 15", "w": "o + 18", "y": "w + 5", "p": 15}, "premises": {"p": 15}, "target": "r"}, "answer": {"steps": [["q", "d + 2", "d + 4"], ["d", "v + 19", "v + 23"], [... | 119 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 2; y = w + 5; o = g + 15; a = t + 20; d = v + 19; t = p + 1; g = a + 1; f = h + 8; v = f + 20; p = 15; r = q + 2; h = p + 12; w = o + 18. If p = 15, what is the resulting value of r?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 2 to r, which gives r = d + 4.\n2. Substitute d = v + 19 to r, which gives r = v + 23.\n3. Substitute v = f + 20 to r, which gives r = f + 43.\n4. Substitute f = h + 8 to r, which gives r = h + 51.\n5. Substitute h = p ... |
{"problem": {"rules": {"x": "w + 12", "d": "x + 16", "s": "d + 20", "o": "s + 14", "h": "o + 2", "g": "h + 14", "k": "w + 1", "j": "k + 10", "p": "j + 12", "t": "p + 13", "e": "t + 11", "c": "e + 20", "w": 12}, "premises": {"w": 12}, "target": "g"}, "answer": {"steps": [["h", "o + 2", "o + 16"], ["o", "s + 14", "s + 30... | 120 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 2; j = k + 10; o = s + 14; x = w + 12; s = d + 20; e = t + 11; k = w + 1; c = e + 20; g = h + 14; d = x + 16; w = 12; p = j + 12; t = p + 13. Given that w = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 2 to g, which gives g = o + 16.\n2. Substitute o = s + 14 to g, which gives g = s + 30.\n3. Substitute s = d + 20 to g, which gives g = d + 50.\n4. Substitute d = x + 16 to g, which gives g = x + 66.\n5. Substitute x = ... |
{"problem": {"rules": {"y": "f + 1", "z": "y + 8", "t": "z + 9", "i": "t + 15", "c": "i + 14", "k": "c + 5", "o": "f + 1", "r": "o + 15", "m": "r + 9", "v": "m + 12", "s": "v + 8", "n": "s + 17", "f": 17}, "premises": {"f": 17}, "target": "k"}, "answer": {"steps": [["y", "f + 1", 18], ["z", "y + 8", 26], ["t", "z + 9",... | 121 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 8; v = m + 12; o = f + 1; n = s + 17; t = z + 9; y = f + 1; i = t + 15; k = c + 5; r = o + 15; c = i + 14; s = v + 8; m = r + 9; f = 17. If f = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = f + 1, which gives y = 18.\n2. Compute z using z = y + 8, which gives z = 26.\n3. Compute t using t = z + 9, which gives t = 35.\n4. Compute i using i = t + 15, which gives i = 50.\n5. Compute c using c = i + 14, which... |
{"problem": {"rules": {"z": "f + 20", "o": "z + 6", "c": "o + 5", "m": "c + 1", "e": "m + 2", "a": "e + 10", "s": "f + 19", "y": "s + 15", "u": "y + 4", "v": "u + 18", "p": "v + 14", "d": "p + 9", "f": 12}, "premises": {"f": 12}, "target": "a"}, "answer": {"steps": [["z", "f + 20", 32], ["o", "z + 6", 38], ["c", "o + 5... | 122 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 6; m = c + 1; c = o + 5; f = 12; d = p + 9; s = f + 19; z = f + 20; v = u + 18; a = e + 10; e = m + 2; y = s + 15; u = y + 4; p = v + 14. If f = 12, what is the resulting value of a?",
"role": "user... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = f + 20, which gives z = 32.\n2. Compute o using o = z + 6, which gives o = 38.\n3. Compute c using c = o + 5, which gives c = 43.\n4. Compute m using m = c + 1, which gives m = 44.\n5. Compute e using e = m + 2, which ... |
{"problem": {"rules": {"m": "z + 17", "j": "m + 5", "d": "j + 3", "p": "d + 17", "l": "p + 9", "h": "l + 6", "i": "z + 9", "t": "i + 19", "q": "t + 5", "e": "q + 7", "n": "e + 13", "a": "n + 9", "z": 4}, "premises": {"z": 4}, "target": "h"}, "answer": {"steps": [["l", "p + 9", "p + 15"], ["p", "d + 17", "d + 32"], ["d"... | 123 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 9; t = i + 19; j = m + 5; m = z + 17; z = 4; q = t + 5; d = j + 3; p = d + 17; n = e + 13; h = l + 6; e = q + 7; i = z + 9; a = n + 9. Given that z = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 9 to h, which gives h = p + 15.\n2. Substitute p = d + 17 to h, which gives h = d + 32.\n3. Substitute d = j + 3 to h, which gives h = j + 35.\n4. Substitute j = m + 5 to h, which gives h = m + 40.\n5. Substitute m = z ... |
{"problem": {"rules": {"r": "f + 20", "x": "r + 18", "s": "x + 8", "y": "s + 13", "b": "y + 20", "o": "b + 18", "c": "f + 8", "n": "c + 13", "w": "n + 10", "a": "w + 18", "q": "a + 3", "g": "q + 1", "f": 10}, "premises": {"f": 10}, "target": "o"}, "answer": {"steps": [["r", "f + 20", 30], ["x", "r + 18", 48], ["s", "x ... | 124 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 8; b = y + 20; g = q + 1; c = f + 8; n = c + 13; w = n + 10; r = f + 20; a = w + 18; y = s + 13; f = 10; x = r + 18; o = b + 18; q = a + 3. Given that f = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = f + 20, which gives r = 30.\n2. Compute x using x = r + 18, which gives x = 48.\n3. Compute s using s = x + 8, which gives s = 56.\n4. Compute y using y = s + 13, which gives y = 69.\n5. Compute b using b = y + 20, whi... |
{"problem": {"rules": {"t": "a + 17", "q": "t + 3", "h": "q + 15", "x": "h + 8", "i": "x + 7", "u": "i + 14", "k": "a + 13", "e": "k + 16", "m": "e + 11", "v": "m + 8", "n": "v + 15", "z": "n + 14", "a": 2}, "premises": {"a": 2}, "target": "u"}, "answer": {"steps": [["i", "x + 7", "x + 21"], ["x", "h + 8", "h + 29"], [... | 125 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = a + 13; e = k + 16; v = m + 8; t = a + 17; x = h + 8; n = v + 15; i = x + 7; m = e + 11; q = t + 3; z = n + 14; u = i + 14; a = 2; h = q + 15. Given that a = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 7 to u, which gives u = x + 21.\n2. Substitute x = h + 8 to u, which gives u = h + 29.\n3. Substitute h = q + 15 to u, which gives u = q + 44.\n4. Substitute q = t + 3 to u, which gives u = t + 47.\n5. Substitute t = a ... |
{"problem": {"rules": {"x": "y + 18", "c": "x + 17", "m": "c + 10", "b": "m + 20", "h": "b + 5", "l": "h + 19", "p": "y + 13", "j": "p + 4", "k": "j + 11", "w": "k + 17", "i": "w + 4", "e": "i + 5", "y": 7}, "premises": {"y": 7}, "target": "l"}, "answer": {"steps": [["x", "y + 18", 25], ["c", "x + 17", 42], ["m", "c + ... | 126 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 7; i = w + 4; k = j + 11; b = m + 20; p = y + 13; x = y + 18; m = c + 10; l = h + 19; h = b + 5; e = i + 5; j = p + 4; c = x + 17; w = k + 17. If y = 7, what is the resulting value of l?",
"role": "user... | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = y + 18, which gives x = 25.\n2. Compute c using c = x + 17, which gives c = 42.\n3. Compute m using m = c + 10, which gives m = 52.\n4. Compute b using b = m + 20, which gives b = 72.\n5. Compute h using h = b + 5, whi... |
{"problem": {"rules": {"k": "s + 1", "j": "k + 1", "x": "j + 9", "b": "x + 10", "i": "b + 10", "h": "i + 5", "e": "s + 15", "c": "e + 20", "w": "c + 15", "q": "w + 6", "v": "q + 9", "g": "v + 8", "s": 3}, "premises": {"s": 3}, "target": "h"}, "answer": {"steps": [["i", "b + 10", "b + 15"], ["b", "x + 10", "x + 25"], ["... | 127 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 1; q = w + 6; s = 3; g = v + 8; e = s + 15; j = k + 1; w = c + 15; v = q + 9; i = b + 10; b = x + 10; x = j + 9; h = i + 5; c = e + 20. If s = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 10 to h, which gives h = b + 15.\n2. Substitute b = x + 10 to h, which gives h = x + 25.\n3. Substitute x = j + 9 to h, which gives h = j + 34.\n4. Substitute j = k + 1 to h, which gives h = k + 35.\n5. Substitute k = s... |
{"problem": {"rules": {"u": "b + 2", "r": "u + 2", "q": "r + 18", "s": "q + 15", "d": "s + 19", "j": "d + 12", "g": "b + 12", "x": "g + 11", "i": "x + 7", "n": "i + 6", "p": "n + 8", "e": "p + 20", "b": 19}, "premises": {"b": 19}, "target": "j"}, "answer": {"steps": [["d", "s + 19", "s + 31"], ["s", "q + 15", "q + 46"]... | 128 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 15; n = i + 6; i = x + 7; x = g + 11; r = u + 2; e = p + 20; g = b + 12; q = r + 18; d = s + 19; b = 19; p = n + 8; j = d + 12; u = b + 2. If b = 19, what is the resulting value of j?",
"role": "use... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 19 to j, which gives j = s + 31.\n2. Substitute s = q + 15 to j, which gives j = q + 46.\n3. Substitute q = r + 18 to j, which gives j = r + 64.\n4. Substitute r = u + 2 to j, which gives j = u + 66.\n5. Substitute u = ... |
{"problem": {"rules": {"v": "b + 14", "s": "v + 20", "y": "s + 19", "x": "y + 17", "e": "x + 5", "j": "e + 14", "h": "b + 6", "r": "h + 13", "l": "r + 13", "m": "l + 20", "p": "m + 10", "c": "p + 18", "b": 3}, "premises": {"b": 3}, "target": "j"}, "answer": {"steps": [["v", "b + 14", 17], ["s", "v + 20", 37], ["y", "s ... | 129 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 20; x = y + 17; j = e + 14; h = b + 6; r = h + 13; l = r + 13; v = b + 14; c = p + 18; y = s + 19; s = v + 20; p = m + 10; b = 3; e = x + 5. If b = 3, what is the resulting value of j?",
"role": "us... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = b + 14, which gives v = 17.\n2. Compute s using s = v + 20, which gives s = 37.\n3. Compute y using y = s + 19, which gives y = 56.\n4. Compute x using x = y + 17, which gives x = 73.\n5. Compute e using e = x + 5, whi... |
{"problem": {"rules": {"v": "g + 11", "l": "v + 13", "x": "l + 15", "s": "x + 15", "n": "s + 5", "q": "n + 17", "u": "g + 10", "m": "u + 20", "c": "m + 4", "w": "c + 15", "e": "w + 11", "z": "e + 8", "g": 17}, "premises": {"g": 17}, "target": "q"}, "answer": {"steps": [["n", "s + 5", "s + 22"], ["s", "x + 15", "x + 37"... | 130 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 11; e = w + 11; x = l + 15; q = n + 17; w = c + 15; s = x + 15; l = v + 13; n = s + 5; g = 17; m = u + 20; c = m + 4; u = g + 10; z = e + 8. Given that g = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 5 to q, which gives q = s + 22.\n2. Substitute s = x + 15 to q, which gives q = x + 37.\n3. Substitute x = l + 15 to q, which gives q = l + 52.\n4. Substitute l = v + 13 to q, which gives q = v + 65.\n5. Substitute v = ... |
{"problem": {"rules": {"q": "n + 18", "c": "q + 11", "v": "c + 20", "w": "v + 7", "x": "w + 1", "z": "x + 2", "r": "n + 19", "s": "r + 6", "y": "s + 10", "b": "y + 14", "e": "b + 19", "d": "e + 9", "n": 11}, "premises": {"n": 11}, "target": "z"}, "answer": {"steps": [["q", "n + 18", 29], ["c", "q + 11", 40], ["v", "c +... | 131 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 19; z = x + 2; c = q + 11; x = w + 1; n = 11; d = e + 9; b = y + 14; w = v + 7; r = n + 19; y = s + 10; s = r + 6; q = n + 18; v = c + 20. Given that n = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = n + 18, which gives q = 29.\n2. Compute c using c = q + 11, which gives c = 40.\n3. Compute v using v = c + 20, which gives v = 60.\n4. Compute w using w = v + 7, which gives w = 67.\n5. Compute x using x = w + 1, whic... |
{"problem": {"rules": {"x": "z + 9", "o": "x + 5", "i": "o + 19", "g": "i + 4", "c": "g + 6", "d": "c + 14", "t": "z + 1", "k": "t + 3", "s": "k + 14", "m": "s + 20", "j": "m + 6", "f": "j + 10", "z": 5}, "premises": {"z": 5}, "target": "d"}, "answer": {"steps": [["c", "g + 6", "g + 20"], ["g", "i + 4", "i + 24"], ["i"... | 132 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 6; f = j + 10; o = x + 5; d = c + 14; g = i + 4; k = t + 3; i = o + 19; c = g + 6; z = 5; m = s + 20; s = k + 14; t = z + 1; x = z + 9. If z = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 6 to d, which gives d = g + 20.\n2. Substitute g = i + 4 to d, which gives d = i + 24.\n3. Substitute i = o + 19 to d, which gives d = o + 43.\n4. Substitute o = x + 5 to d, which gives d = x + 48.\n5. Substitute x = z ... |
{"problem": {"rules": {"h": "w + 17", "o": "h + 17", "n": "o + 11", "i": "n + 20", "s": "i + 16", "g": "s + 12", "q": "w + 6", "t": "q + 20", "k": "t + 18", "j": "k + 4", "l": "j + 3", "y": "l + 8", "w": 3}, "premises": {"w": 3}, "target": "g"}, "answer": {"steps": [["h", "w + 17", 20], ["o", "h + 17", 37], ["n", "o + ... | 133 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 17; j = k + 4; l = j + 3; y = l + 8; i = n + 20; s = i + 16; q = w + 6; k = t + 18; t = q + 20; w = 3; o = h + 17; n = o + 11; g = s + 12. Given that w = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = w + 17, which gives h = 20.\n2. Compute o using o = h + 17, which gives o = 37.\n3. Compute n using n = o + 11, which gives n = 48.\n4. Compute i using i = n + 20, which gives i = 68.\n5. Compute s using s = i + 16, wh... |
{"problem": {"rules": {"k": "h + 19", "v": "k + 19", "i": "v + 15", "q": "i + 6", "p": "q + 19", "e": "p + 12", "g": "h + 17", "w": "g + 13", "z": "w + 19", "b": "z + 15", "t": "b + 1", "c": "t + 11", "h": 20}, "premises": {"h": 20}, "target": "e"}, "answer": {"steps": [["k", "h + 19", 39], ["v", "k + 19", 58], ["i", "... | 134 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 11; w = g + 13; h = 20; g = h + 17; b = z + 15; k = h + 19; t = b + 1; v = k + 19; i = v + 15; e = p + 12; p = q + 19; z = w + 19; q = i + 6. If h = 20, what is the resulting value of e?",
"role": "... | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 19, which gives k = 39.\n2. Compute v using v = k + 19, which gives v = 58.\n3. Compute i using i = v + 15, which gives i = 73.\n4. Compute q using q = i + 6, which gives q = 79.\n5. Compute p using p = q + 19, whi... |
{"problem": {"rules": {"h": "c + 7", "u": "h + 11", "k": "u + 5", "m": "k + 10", "d": "m + 7", "w": "d + 2", "y": "c + 12", "t": "y + 14", "o": "t + 10", "q": "o + 17", "p": "q + 6", "v": "p + 9", "c": 3}, "premises": {"c": 3}, "target": "w"}, "answer": {"steps": [["d", "m + 7", "m + 9"], ["m", "k + 10", "k + 19"], ["k... | 135 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 2; h = c + 7; o = t + 10; y = c + 12; m = k + 10; t = y + 14; v = p + 9; c = 3; u = h + 11; k = u + 5; p = q + 6; q = o + 17; d = m + 7. If c = 3, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 7 to w, which gives w = m + 9.\n2. Substitute m = k + 10 to w, which gives w = k + 19.\n3. Substitute k = u + 5 to w, which gives w = u + 24.\n4. Substitute u = h + 11 to w, which gives w = h + 35.\n5. Substitute h = c ... |
{"problem": {"rules": {"v": "e + 11", "m": "v + 2", "g": "m + 5", "j": "g + 11", "w": "j + 2", "k": "w + 10", "y": "e + 3", "s": "y + 15", "o": "s + 8", "c": "o + 6", "t": "c + 9", "n": "t + 8", "e": 4}, "premises": {"e": 4}, "target": "k"}, "answer": {"steps": [["v", "e + 11", 15], ["m", "v + 2", 17], ["g", "m + 5", 2... | 136 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 11; g = m + 5; v = e + 11; m = v + 2; e = 4; y = e + 3; k = w + 10; s = y + 15; o = s + 8; n = t + 8; c = o + 6; t = c + 9; w = j + 2. If e = 4, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = e + 11, which gives v = 15.\n2. Compute m using m = v + 2, which gives m = 17.\n3. Compute g using g = m + 5, which gives g = 22.\n4. Compute j using j = g + 11, which gives j = 33.\n5. Compute w using w = j + 2, which... |
{"problem": {"rules": {"k": "o + 13", "n": "k + 9", "u": "n + 3", "r": "u + 11", "l": "r + 8", "p": "l + 18", "j": "o + 9", "f": "j + 11", "d": "f + 19", "h": "d + 3", "x": "h + 7", "q": "x + 14", "o": 9}, "premises": {"o": 9}, "target": "p"}, "answer": {"steps": [["k", "o + 13", 22], ["n", "k + 9", 31], ["u", "n + 3",... | 137 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 11; l = r + 8; x = h + 7; j = o + 9; o = 9; n = k + 9; d = f + 19; r = u + 11; q = x + 14; k = o + 13; p = l + 18; h = d + 3; u = n + 3. If o = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = o + 13, which gives k = 22.\n2. Compute n using n = k + 9, which gives n = 31.\n3. Compute u using u = n + 3, which gives u = 34.\n4. Compute r using r = u + 11, which gives r = 45.\n5. Compute l using l = r + 8, which... |
{"problem": {"rules": {"p": "b + 16", "f": "p + 12", "o": "f + 11", "m": "o + 13", "z": "m + 14", "k": "z + 5", "u": "b + 8", "i": "u + 12", "s": "i + 2", "n": "s + 2", "j": "n + 5", "g": "j + 9", "b": 6}, "premises": {"b": 6}, "target": "k"}, "answer": {"steps": [["p", "b + 16", 22], ["f", "p + 12", 34], ["o", "f + 11... | 138 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 8; o = f + 11; f = p + 12; i = u + 12; k = z + 5; g = j + 9; s = i + 2; n = s + 2; m = o + 13; b = 6; z = m + 14; j = n + 5; p = b + 16. Given that b = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = b + 16, which gives p = 22.\n2. Compute f using f = p + 12, which gives f = 34.\n3. Compute o using o = f + 11, which gives o = 45.\n4. Compute m using m = o + 13, which gives m = 58.\n5. Compute z using z = m + 14, wh... |
{"problem": {"rules": {"v": "a + 8", "c": "v + 7", "w": "c + 8", "u": "w + 10", "d": "u + 6", "l": "d + 18", "s": "a + 4", "x": "s + 7", "h": "x + 10", "g": "h + 10", "e": "g + 15", "n": "e + 6", "a": 7}, "premises": {"a": 7}, "target": "l"}, "answer": {"steps": [["v", "a + 8", 15], ["c", "v + 7", 22], ["w", "c + 8", 3... | 139 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 15; l = d + 18; h = x + 10; a = 7; g = h + 10; n = e + 6; v = a + 8; c = v + 7; u = w + 10; w = c + 8; s = a + 4; d = u + 6; x = s + 7. If a = 7, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = a + 8, which gives v = 15.\n2. Compute c using c = v + 7, which gives c = 22.\n3. Compute w using w = c + 8, which gives w = 30.\n4. Compute u using u = w + 10, which gives u = 40.\n5. Compute d using d = u + 6, which ... |
{"problem": {"rules": {"f": "z + 17", "k": "f + 12", "s": "k + 14", "q": "s + 15", "t": "q + 20", "v": "t + 2", "d": "z + 15", "y": "d + 17", "e": "y + 13", "o": "e + 14", "p": "o + 8", "j": "p + 7", "z": 17}, "premises": {"z": 17}, "target": "v"}, "answer": {"steps": [["t", "q + 20", "q + 22"], ["q", "s + 15", "s + 37... | 140 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 7; t = q + 20; v = t + 2; k = f + 12; z = 17; s = k + 14; d = z + 15; o = e + 14; f = z + 17; q = s + 15; e = y + 13; y = d + 17; p = o + 8. If z = 17, what is the resulting value of v?",
"role": "u... | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 20 to v, which gives v = q + 22.\n2. Substitute q = s + 15 to v, which gives v = s + 37.\n3. Substitute s = k + 14 to v, which gives v = k + 51.\n4. Substitute k = f + 12 to v, which gives v = f + 63.\n5. Substitute f =... |
{"problem": {"rules": {"j": "y + 15", "t": "j + 8", "x": "t + 3", "g": "x + 12", "w": "g + 16", "f": "w + 6", "b": "y + 4", "i": "b + 4", "o": "i + 20", "z": "o + 10", "a": "z + 11", "u": "a + 4", "y": 9}, "premises": {"y": 9}, "target": "f"}, "answer": {"steps": [["w", "g + 16", "g + 22"], ["g", "x + 12", "x + 34"], [... | 141 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 4; i = b + 4; t = j + 8; w = g + 16; x = t + 3; u = a + 4; y = 9; j = y + 15; z = o + 10; o = i + 20; g = x + 12; f = w + 6; a = z + 11. If y = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 16 to f, which gives f = g + 22.\n2. Substitute g = x + 12 to f, which gives f = x + 34.\n3. Substitute x = t + 3 to f, which gives f = t + 37.\n4. Substitute t = j + 8 to f, which gives f = j + 45.\n5. Substitute j = y... |
{"problem": {"rules": {"a": "r + 16", "p": "a + 5", "h": "p + 7", "c": "h + 19", "w": "c + 5", "z": "w + 11", "j": "r + 16", "l": "j + 9", "m": "l + 1", "n": "m + 8", "y": "n + 5", "q": "y + 11", "r": 20}, "premises": {"r": 20}, "target": "z"}, "answer": {"steps": [["a", "r + 16", 36], ["p", "a + 5", 41], ["h", "p + 7"... | 142 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 11; l = j + 9; j = r + 16; n = m + 8; c = h + 19; w = c + 5; h = p + 7; q = y + 11; p = a + 5; r = 20; a = r + 16; m = l + 1; y = n + 5. If r = 20, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = r + 16, which gives a = 36.\n2. Compute p using p = a + 5, which gives p = 41.\n3. Compute h using h = p + 7, which gives h = 48.\n4. Compute c using c = h + 19, which gives c = 67.\n5. Compute w using w = c + 5, which... |
{"problem": {"rules": {"y": "x + 1", "n": "y + 18", "m": "n + 14", "w": "m + 3", "q": "w + 2", "i": "q + 17", "o": "x + 8", "s": "o + 9", "g": "s + 7", "v": "g + 4", "u": "v + 19", "a": "u + 15", "x": 6}, "premises": {"x": 6}, "target": "i"}, "answer": {"steps": [["y", "x + 1", 7], ["n", "y + 18", 25], ["m", "n + 14", ... | 143 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 1; m = n + 14; x = 6; a = u + 15; g = s + 7; i = q + 17; s = o + 9; o = x + 8; n = y + 18; w = m + 3; v = g + 4; u = v + 19; q = w + 2. If x = 6, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = x + 1, which gives y = 7.\n2. Compute n using n = y + 18, which gives n = 25.\n3. Compute m using m = n + 14, which gives m = 39.\n4. Compute w using w = m + 3, which gives w = 42.\n5. Compute q using q = w + 2, which ... |
{"problem": {"rules": {"n": "j + 9", "o": "n + 18", "w": "o + 1", "t": "w + 8", "g": "t + 5", "l": "g + 5", "e": "j + 10", "d": "e + 7", "x": "d + 4", "c": "x + 3", "f": "c + 9", "p": "f + 14", "j": 17}, "premises": {"j": 17}, "target": "l"}, "answer": {"steps": [["n", "j + 9", 26], ["o", "n + 18", 44], ["w", "o + 1", ... | 144 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 17; w = o + 1; g = t + 5; c = x + 3; f = c + 9; e = j + 10; n = j + 9; o = n + 18; p = f + 14; l = g + 5; x = d + 4; d = e + 7; t = w + 8. If j = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = j + 9, which gives n = 26.\n2. Compute o using o = n + 18, which gives o = 44.\n3. Compute w using w = o + 1, which gives w = 45.\n4. Compute t using t = w + 8, which gives t = 53.\n5. Compute g using g = t + 5, which ... |
{"problem": {"rules": {"c": "a + 13", "m": "c + 1", "o": "m + 14", "b": "o + 5", "v": "b + 17", "n": "v + 7", "r": "a + 16", "f": "r + 1", "q": "f + 8", "s": "q + 18", "e": "s + 7", "u": "e + 9", "a": 18}, "premises": {"a": 18}, "target": "n"}, "answer": {"steps": [["v", "b + 17", "b + 24"], ["b", "o + 5", "o + 29"], [... | 145 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 18; m = c + 1; v = b + 17; u = e + 9; o = m + 14; c = a + 13; r = a + 16; e = s + 7; n = v + 7; b = o + 5; q = f + 8; f = r + 1; s = q + 18. Given that a = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 17 to n, which gives n = b + 24.\n2. Substitute b = o + 5 to n, which gives n = o + 29.\n3. Substitute o = m + 14 to n, which gives n = m + 43.\n4. Substitute m = c + 1 to n, which gives n = c + 44.\n5. Substitute c = a... |
{"problem": {"rules": {"b": "n + 4", "z": "b + 4", "u": "z + 6", "p": "u + 2", "l": "p + 18", "m": "l + 8", "y": "n + 14", "g": "y + 6", "c": "g + 6", "r": "c + 15", "j": "r + 20", "s": "j + 3", "n": 1}, "premises": {"n": 1}, "target": "m"}, "answer": {"steps": [["l", "p + 18", "p + 26"], ["p", "u + 2", "u + 28"], ["u"... | 146 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 4; u = z + 6; j = r + 20; y = n + 14; z = b + 4; n = 1; s = j + 3; r = c + 15; m = l + 8; l = p + 18; p = u + 2; c = g + 6; g = y + 6. If n = 1, what is the resulting value of m?",
"role": "user"
... | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 18 to m, which gives m = p + 26.\n2. Substitute p = u + 2 to m, which gives m = u + 28.\n3. Substitute u = z + 6 to m, which gives m = z + 34.\n4. Substitute z = b + 4 to m, which gives m = b + 38.\n5. Substitute b = n ... |
{"problem": {"rules": {"v": "j + 1", "s": "v + 4", "r": "s + 5", "d": "r + 3", "m": "d + 19", "i": "m + 3", "o": "j + 16", "c": "o + 2", "w": "c + 19", "z": "w + 10", "p": "z + 4", "x": "p + 12", "j": 8}, "premises": {"j": 8}, "target": "i"}, "answer": {"steps": [["m", "d + 19", "d + 22"], ["d", "r + 3", "r + 25"], ["r... | 147 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 10; p = z + 4; i = m + 3; m = d + 19; c = o + 2; v = j + 1; w = c + 19; x = p + 12; r = s + 5; j = 8; d = r + 3; o = j + 16; s = v + 4. Given that j = 8, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 19 to i, which gives i = d + 22.\n2. Substitute d = r + 3 to i, which gives i = r + 25.\n3. Substitute r = s + 5 to i, which gives i = s + 30.\n4. Substitute s = v + 4 to i, which gives i = v + 34.\n5. Substitute v = j ... |
{"problem": {"rules": {"y": "p + 6", "z": "y + 4", "i": "z + 19", "f": "i + 19", "s": "f + 11", "c": "s + 9", "j": "p + 7", "x": "j + 16", "r": "x + 17", "m": "r + 15", "b": "m + 4", "h": "b + 4", "p": 20}, "premises": {"p": 20}, "target": "c"}, "answer": {"steps": [["y", "p + 6", 26], ["z", "y + 4", 30], ["i", "z + 19... | 148 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 19; s = f + 11; x = j + 16; z = y + 4; y = p + 6; p = 20; i = z + 19; m = r + 15; r = x + 17; j = p + 7; h = b + 4; c = s + 9; b = m + 4. If p = 20, what is the resulting value of c?",
"role": "user... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = p + 6, which gives y = 26.\n2. Compute z using z = y + 4, which gives z = 30.\n3. Compute i using i = z + 19, which gives i = 49.\n4. Compute f using f = i + 19, which gives f = 68.\n5. Compute s using s = f + 11, whic... |
{"problem": {"rules": {"p": "o + 12", "l": "p + 1", "q": "l + 13", "i": "q + 13", "j": "i + 1", "w": "j + 9", "n": "o + 9", "k": "n + 7", "c": "k + 20", "s": "c + 5", "e": "s + 4", "x": "e + 16", "o": 1}, "premises": {"o": 1}, "target": "w"}, "answer": {"steps": [["p", "o + 12", 13], ["l", "p + 1", 14], ["q", "l + 13",... | 149 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 7; p = o + 12; s = c + 5; x = e + 16; c = k + 20; e = s + 4; l = p + 1; o = 1; w = j + 9; q = l + 13; j = i + 1; i = q + 13; n = o + 9. Given that o = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 12, which gives p = 13.\n2. Compute l using l = p + 1, which gives l = 14.\n3. Compute q using q = l + 13, which gives q = 27.\n4. Compute i using i = q + 13, which gives i = 40.\n5. Compute j using j = i + 1, whic... |
{"problem": {"rules": {"x": "d + 6", "l": "x + 11", "f": "l + 20", "c": "f + 14", "i": "c + 11", "t": "i + 3", "u": "d + 2", "j": "u + 20", "s": "j + 19", "a": "s + 12", "p": "a + 14", "h": "p + 6", "d": 16}, "premises": {"d": 16}, "target": "t"}, "answer": {"steps": [["x", "d + 6", 22], ["l", "x + 11", 33], ["f", "l +... | 150 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 20; h = p + 6; s = j + 19; i = c + 11; u = d + 2; x = d + 6; d = 16; c = f + 14; t = i + 3; j = u + 20; l = x + 11; a = s + 12; p = a + 14. If d = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = d + 6, which gives x = 22.\n2. Compute l using l = x + 11, which gives l = 33.\n3. Compute f using f = l + 20, which gives f = 53.\n4. Compute c using c = f + 14, which gives c = 67.\n5. Compute i using i = c + 11, whi... |
{"problem": {"rules": {"r": "e + 2", "x": "r + 17", "g": "x + 9", "n": "g + 19", "c": "n + 11", "q": "c + 8", "u": "e + 20", "d": "u + 3", "j": "d + 20", "p": "j + 12", "w": "p + 8", "k": "w + 17", "e": 15}, "premises": {"e": 15}, "target": "q"}, "answer": {"steps": [["c", "n + 11", "n + 19"], ["n", "g + 19", "g + 38"]... | 151 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 15; w = p + 8; j = d + 20; p = j + 12; n = g + 19; c = n + 11; u = e + 20; k = w + 17; q = c + 8; d = u + 3; g = x + 9; r = e + 2; x = r + 17. If e = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 11 to q, which gives q = n + 19.\n2. Substitute n = g + 19 to q, which gives q = g + 38.\n3. Substitute g = x + 9 to q, which gives q = x + 47.\n4. Substitute x = r + 17 to q, which gives q = r + 64.\n5. Substitute r = ... |
{"problem": {"rules": {"u": "w + 1", "p": "u + 20", "x": "p + 11", "s": "x + 17", "d": "s + 14", "n": "d + 15", "q": "w + 5", "c": "q + 4", "e": "c + 12", "b": "e + 18", "o": "b + 7", "i": "o + 5", "w": 15}, "premises": {"w": 15}, "target": "n"}, "answer": {"steps": [["d", "s + 14", "s + 29"], ["s", "x + 17", "x + 46"]... | 152 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = c + 12; x = p + 11; n = d + 15; u = w + 1; d = s + 14; o = b + 7; w = 15; s = x + 17; p = u + 20; b = e + 18; c = q + 4; i = o + 5; q = w + 5. If w = 15, what is the resulting value of n?",
"role": "use... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 14 to n, which gives n = s + 29.\n2. Substitute s = x + 17 to n, which gives n = x + 46.\n3. Substitute x = p + 11 to n, which gives n = p + 57.\n4. Substitute p = u + 20 to n, which gives n = u + 77.\n5. Substitute u =... |
{"problem": {"rules": {"v": "c + 14", "b": "v + 5", "e": "b + 16", "d": "e + 17", "p": "d + 15", "n": "p + 19", "x": "c + 8", "i": "x + 17", "m": "i + 8", "z": "m + 3", "r": "z + 5", "u": "r + 4", "c": 19}, "premises": {"c": 19}, "target": "n"}, "answer": {"steps": [["v", "c + 14", 33], ["b", "v + 5", 38], ["e", "b + 1... | 153 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 16; m = i + 8; b = v + 5; r = z + 5; x = c + 8; c = 19; v = c + 14; i = x + 17; d = e + 17; p = d + 15; u = r + 4; z = m + 3; n = p + 19. If c = 19, what is the resulting value of n?",
"role": "user... | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = c + 14, which gives v = 33.\n2. Compute b using b = v + 5, which gives b = 38.\n3. Compute e using e = b + 16, which gives e = 54.\n4. Compute d using d = e + 17, which gives d = 71.\n5. Compute p using p = d + 15, whi... |
{"problem": {"rules": {"o": "z + 4", "y": "o + 6", "g": "y + 16", "q": "g + 17", "h": "q + 14", "v": "h + 9", "a": "z + 16", "e": "a + 13", "i": "e + 15", "d": "i + 4", "k": "d + 3", "l": "k + 8", "z": 3}, "premises": {"z": 3}, "target": "v"}, "answer": {"steps": [["h", "q + 14", "q + 23"], ["q", "g + 17", "g + 40"], [... | 154 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 4; z = 3; v = h + 9; h = q + 14; k = d + 3; i = e + 15; g = y + 16; d = i + 4; e = a + 13; a = z + 16; q = g + 17; y = o + 6; l = k + 8. Given that z = 3, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 14 to v, which gives v = q + 23.\n2. Substitute q = g + 17 to v, which gives v = g + 40.\n3. Substitute g = y + 16 to v, which gives v = y + 56.\n4. Substitute y = o + 6 to v, which gives v = o + 62.\n5. Substitute o = ... |
{"problem": {"rules": {"l": "b + 10", "r": "l + 18", "j": "r + 3", "f": "j + 2", "p": "f + 2", "q": "p + 18", "o": "b + 7", "i": "o + 4", "d": "i + 11", "g": "d + 11", "y": "g + 1", "k": "y + 7", "b": 3}, "premises": {"b": 3}, "target": "q"}, "answer": {"steps": [["l", "b + 10", 13], ["r", "l + 18", 31], ["j", "r + 3",... | 155 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 3; g = d + 11; p = f + 2; o = b + 7; d = i + 11; q = p + 18; f = j + 2; l = b + 10; b = 3; y = g + 1; k = y + 7; i = o + 4; r = l + 18. If b = 3, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = b + 10, which gives l = 13.\n2. Compute r using r = l + 18, which gives r = 31.\n3. Compute j using j = r + 3, which gives j = 34.\n4. Compute f using f = j + 2, which gives f = 36.\n5. Compute p using p = f + 2, which... |
{"problem": {"rules": {"m": "x + 7", "w": "m + 1", "j": "w + 6", "i": "j + 5", "h": "i + 16", "k": "h + 7", "r": "x + 16", "s": "r + 5", "c": "s + 12", "g": "c + 7", "o": "g + 15", "e": "o + 7", "x": 6}, "premises": {"x": 6}, "target": "k"}, "answer": {"steps": [["m", "x + 7", 13], ["w", "m + 1", 14], ["j", "w + 6", 20... | 156 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = h + 7; m = x + 7; i = j + 5; g = c + 7; e = o + 7; h = i + 16; c = s + 12; s = r + 5; x = 6; j = w + 6; o = g + 15; r = x + 16; w = m + 1. If x = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = x + 7, which gives m = 13.\n2. Compute w using w = m + 1, which gives w = 14.\n3. Compute j using j = w + 6, which gives j = 20.\n4. Compute i using i = j + 5, which gives i = 25.\n5. Compute h using h = i + 16, which ... |
{"problem": {"rules": {"n": "a + 17", "s": "n + 17", "i": "s + 6", "r": "i + 10", "h": "r + 1", "w": "h + 10", "b": "a + 3", "d": "b + 17", "j": "d + 5", "v": "j + 5", "c": "v + 16", "t": "c + 19", "a": 2}, "premises": {"a": 2}, "target": "w"}, "answer": {"steps": [["n", "a + 17", 19], ["s", "n + 17", 36], ["i", "s + 6... | 157 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = s + 6; t = c + 19; a = 2; c = v + 16; r = i + 10; j = d + 5; d = b + 17; v = j + 5; s = n + 17; n = a + 17; h = r + 1; w = h + 10; b = a + 3. If a = 2, what is the resulting value of w?",
"role": "user"... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = a + 17, which gives n = 19.\n2. Compute s using s = n + 17, which gives s = 36.\n3. Compute i using i = s + 6, which gives i = 42.\n4. Compute r using r = i + 10, which gives r = 52.\n5. Compute h using h = r + 1, whic... |
{"problem": {"rules": {"y": "j + 2", "b": "y + 11", "r": "b + 15", "i": "r + 19", "o": "i + 13", "z": "o + 11", "k": "j + 6", "m": "k + 10", "g": "m + 4", "p": "g + 10", "t": "p + 14", "q": "t + 15", "j": 15}, "premises": {"j": 15}, "target": "z"}, "answer": {"steps": [["o", "i + 13", "i + 24"], ["i", "r + 19", "r + 43... | 158 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 10; o = i + 13; z = o + 11; r = b + 15; b = y + 11; q = t + 15; p = g + 10; t = p + 14; i = r + 19; g = m + 4; y = j + 2; j = 15; k = j + 6. If j = 15, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 13 to z, which gives z = i + 24.\n2. Substitute i = r + 19 to z, which gives z = r + 43.\n3. Substitute r = b + 15 to z, which gives z = b + 58.\n4. Substitute b = y + 11 to z, which gives z = y + 69.\n5. Substitute y =... |
{"problem": {"rules": {"c": "q + 8", "j": "c + 12", "a": "j + 9", "h": "a + 11", "u": "h + 16", "l": "u + 5", "v": "q + 13", "m": "v + 1", "r": "m + 20", "o": "r + 17", "f": "o + 11", "b": "f + 1", "q": 20}, "premises": {"q": 20}, "target": "l"}, "answer": {"steps": [["u", "h + 16", "h + 21"], ["h", "a + 11", "a + 32"]... | 159 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 8; r = m + 20; f = o + 11; j = c + 12; l = u + 5; b = f + 1; v = q + 13; q = 20; o = r + 17; a = j + 9; h = a + 11; m = v + 1; u = h + 16. Given that q = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 16 to l, which gives l = h + 21.\n2. Substitute h = a + 11 to l, which gives l = a + 32.\n3. Substitute a = j + 9 to l, which gives l = j + 41.\n4. Substitute j = c + 12 to l, which gives l = c + 53.\n5. Substitute c = ... |
{"problem": {"rules": {"b": "w + 2", "j": "b + 3", "d": "j + 12", "p": "d + 8", "q": "p + 4", "a": "q + 17", "c": "w + 8", "e": "c + 18", "s": "e + 1", "o": "s + 8", "f": "o + 7", "v": "f + 1", "w": 17}, "premises": {"w": 17}, "target": "a"}, "answer": {"steps": [["q", "p + 4", "p + 21"], ["p", "d + 8", "d + 29"], ["d"... | 160 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = e + 1; j = b + 3; d = j + 12; f = o + 7; e = c + 18; o = s + 8; b = w + 2; c = w + 8; q = p + 4; a = q + 17; v = f + 1; w = 17; p = d + 8. If w = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 4 to a, which gives a = p + 21.\n2. Substitute p = d + 8 to a, which gives a = d + 29.\n3. Substitute d = j + 12 to a, which gives a = j + 41.\n4. Substitute j = b + 3 to a, which gives a = b + 44.\n5. Substitute b = w ... |
{"problem": {"rules": {"p": "l + 8", "b": "p + 4", "v": "b + 14", "z": "v + 3", "u": "z + 15", "q": "u + 18", "r": "l + 17", "s": "r + 13", "o": "s + 10", "g": "o + 17", "w": "g + 2", "k": "w + 20", "l": 1}, "premises": {"l": 1}, "target": "q"}, "answer": {"steps": [["u", "z + 15", "z + 33"], ["z", "v + 3", "v + 36"], ... | 161 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 13; w = g + 2; r = l + 17; v = b + 14; p = l + 8; q = u + 18; l = 1; k = w + 20; g = o + 17; u = z + 15; o = s + 10; b = p + 4; z = v + 3. If l = 1, what is the resulting value of q?",
"role": "user... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 15 to q, which gives q = z + 33.\n2. Substitute z = v + 3 to q, which gives q = v + 36.\n3. Substitute v = b + 14 to q, which gives q = b + 50.\n4. Substitute b = p + 4 to q, which gives q = p + 54.\n5. Substitute p = l... |
{"problem": {"rules": {"o": "j + 5", "r": "o + 14", "u": "r + 8", "z": "u + 2", "h": "z + 11", "n": "h + 10", "a": "j + 3", "m": "a + 1", "x": "m + 7", "b": "x + 2", "k": "b + 3", "i": "k + 8", "j": 5}, "premises": {"j": 5}, "target": "n"}, "answer": {"steps": [["o", "j + 5", 10], ["r", "o + 14", 24], ["u", "r + 8", 32... | 162 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = j + 5; u = r + 8; i = k + 8; x = m + 7; n = h + 10; k = b + 3; a = j + 3; m = a + 1; j = 5; r = o + 14; z = u + 2; b = x + 2; h = z + 11. If j = 5, what is the resulting value of n?",
"role": "user"
}... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = j + 5, which gives o = 10.\n2. Compute r using r = o + 14, which gives r = 24.\n3. Compute u using u = r + 8, which gives u = 32.\n4. Compute z using z = u + 2, which gives z = 34.\n5. Compute h using h = z + 11, which... |
{"problem": {"rules": {"b": "k + 7", "u": "b + 19", "e": "u + 18", "o": "e + 5", "d": "o + 2", "y": "d + 7", "z": "k + 16", "n": "z + 16", "v": "n + 4", "j": "v + 20", "i": "j + 3", "r": "i + 9", "k": 5}, "premises": {"k": 5}, "target": "y"}, "answer": {"steps": [["b", "k + 7", 12], ["u", "b + 19", 31], ["e", "u + 18",... | 163 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 5; j = v + 20; b = k + 7; k = 5; e = u + 18; u = b + 19; d = o + 2; r = i + 9; n = z + 16; z = k + 16; v = n + 4; y = d + 7; i = j + 3. Given that k = 5, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = k + 7, which gives b = 12.\n2. Compute u using u = b + 19, which gives u = 31.\n3. Compute e using e = u + 18, which gives e = 49.\n4. Compute o using o = e + 5, which gives o = 54.\n5. Compute d using d = o + 2, which... |
{"problem": {"rules": {"s": "z + 6", "m": "s + 12", "t": "m + 18", "c": "t + 19", "o": "c + 9", "w": "o + 12", "b": "z + 4", "y": "b + 9", "x": "y + 13", "k": "x + 19", "r": "k + 6", "g": "r + 8", "z": 2}, "premises": {"z": 2}, "target": "w"}, "answer": {"steps": [["o", "c + 9", "c + 21"], ["c", "t + 19", "t + 40"], ["... | 164 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 2; w = o + 12; k = x + 19; c = t + 19; s = z + 6; x = y + 13; g = r + 8; y = b + 9; r = k + 6; b = z + 4; t = m + 18; m = s + 12; o = c + 9. If z = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 9 to w, which gives w = c + 21.\n2. Substitute c = t + 19 to w, which gives w = t + 40.\n3. Substitute t = m + 18 to w, which gives w = m + 58.\n4. Substitute m = s + 12 to w, which gives w = s + 70.\n5. Substitute s = ... |
{"problem": {"rules": {"o": "e + 10", "z": "o + 3", "i": "z + 19", "f": "i + 18", "s": "f + 11", "m": "s + 4", "g": "e + 13", "b": "g + 18", "q": "b + 5", "a": "q + 10", "p": "a + 19", "j": "p + 9", "e": 13}, "premises": {"e": 13}, "target": "m"}, "answer": {"steps": [["o", "e + 10", 23], ["z", "o + 3", 26], ["i", "z +... | 165 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 18; f = i + 18; m = s + 4; i = z + 19; a = q + 10; e = 13; z = o + 3; g = e + 13; o = e + 10; j = p + 9; s = f + 11; q = b + 5; p = a + 19. Given that e = 13, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 10, which gives o = 23.\n2. Compute z using z = o + 3, which gives z = 26.\n3. Compute i using i = z + 19, which gives i = 45.\n4. Compute f using f = i + 18, which gives f = 63.\n5. Compute s using s = f + 11, whi... |
{"problem": {"rules": {"a": "j + 14", "i": "a + 15", "t": "i + 1", "k": "t + 11", "z": "k + 6", "w": "z + 15", "f": "j + 1", "h": "f + 17", "e": "h + 14", "m": "e + 4", "p": "m + 2", "s": "p + 16", "j": 10}, "premises": {"j": 10}, "target": "w"}, "answer": {"steps": [["a", "j + 14", 24], ["i", "a + 15", 39], ["t", "i +... | 166 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 1; e = h + 14; h = f + 17; k = t + 11; w = z + 15; z = k + 6; m = e + 4; s = p + 16; f = j + 1; i = a + 15; j = 10; a = j + 14; p = m + 2. If j = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = j + 14, which gives a = 24.\n2. Compute i using i = a + 15, which gives i = 39.\n3. Compute t using t = i + 1, which gives t = 40.\n4. Compute k using k = t + 11, which gives k = 51.\n5. Compute z using z = k + 6, whic... |
{"problem": {"rules": {"y": "i + 15", "l": "y + 10", "w": "l + 2", "z": "w + 1", "n": "z + 9", "a": "n + 3", "c": "i + 3", "e": "c + 7", "m": "e + 5", "v": "m + 19", "r": "v + 20", "h": "r + 9", "i": 10}, "premises": {"i": 10}, "target": "a"}, "answer": {"steps": [["n", "z + 9", "z + 12"], ["z", "w + 1", "w + 13"], ["w... | 167 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 3; y = i + 15; m = e + 5; h = r + 9; w = l + 2; i = 10; v = m + 19; l = y + 10; e = c + 7; r = v + 20; c = i + 3; z = w + 1; n = z + 9. If i = 10, what is the resulting value of a?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 9 to a, which gives a = z + 12.\n2. Substitute z = w + 1 to a, which gives a = w + 13.\n3. Substitute w = l + 2 to a, which gives a = l + 15.\n4. Substitute l = y + 10 to a, which gives a = y + 25.\n5. Substitute y = i ... |
{"problem": {"rules": {"o": "q + 14", "p": "o + 13", "b": "p + 3", "m": "b + 12", "i": "m + 12", "r": "i + 9", "d": "q + 10", "t": "d + 1", "s": "t + 16", "e": "s + 4", "v": "e + 5", "l": "v + 12", "q": 15}, "premises": {"q": 15}, "target": "r"}, "answer": {"steps": [["i", "m + 12", "m + 21"], ["m", "b + 12", "b + 33"]... | 168 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 12; o = q + 14; b = p + 3; l = v + 12; m = b + 12; e = s + 4; q = 15; s = t + 16; d = q + 10; v = e + 5; t = d + 1; r = i + 9; p = o + 13. If q = 15, what is the resulting value of r?",
"role": "use... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 12 to r, which gives r = m + 21.\n2. Substitute m = b + 12 to r, which gives r = b + 33.\n3. Substitute b = p + 3 to r, which gives r = p + 36.\n4. Substitute p = o + 13 to r, which gives r = o + 49.\n5. Substitute o = ... |
{"problem": {"rules": {"q": "a + 18", "f": "q + 15", "o": "f + 7", "y": "o + 16", "l": "y + 13", "h": "l + 10", "c": "a + 18", "g": "c + 20", "x": "g + 3", "v": "x + 4", "w": "v + 8", "s": "w + 2", "a": 15}, "premises": {"a": 15}, "target": "h"}, "answer": {"steps": [["q", "a + 18", 33], ["f", "q + 15", 48], ["o", "f +... | 169 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = g + 3; h = l + 10; w = v + 8; q = a + 18; g = c + 20; s = w + 2; l = y + 13; c = a + 18; v = x + 4; y = o + 16; o = f + 7; a = 15; f = q + 15. If a = 15, what is the resulting value of h?",
"role": "use... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = a + 18, which gives q = 33.\n2. Compute f using f = q + 15, which gives f = 48.\n3. Compute o using o = f + 7, which gives o = 55.\n4. Compute y using y = o + 16, which gives y = 71.\n5. Compute l using l = y + 13, whi... |
{"problem": {"rules": {"y": "e + 3", "l": "y + 1", "c": "l + 16", "f": "c + 20", "s": "f + 8", "w": "s + 10", "o": "e + 13", "x": "o + 8", "z": "x + 18", "i": "z + 14", "d": "i + 18", "m": "d + 18", "e": 17}, "premises": {"e": 17}, "target": "w"}, "answer": {"steps": [["s", "f + 8", "f + 18"], ["f", "c + 20", "c + 38"]... | 170 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 18; i = z + 14; d = i + 18; e = 17; w = s + 10; c = l + 16; l = y + 1; s = f + 8; y = e + 3; f = c + 20; m = d + 18; o = e + 13; x = o + 8. If e = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 8 to w, which gives w = f + 18.\n2. Substitute f = c + 20 to w, which gives w = c + 38.\n3. Substitute c = l + 16 to w, which gives w = l + 54.\n4. Substitute l = y + 1 to w, which gives w = y + 55.\n5. Substitute y = e... |
{"problem": {"rules": {"s": "n + 7", "x": "s + 3", "f": "x + 11", "d": "f + 16", "k": "d + 16", "g": "k + 20", "q": "n + 17", "p": "q + 18", "z": "p + 17", "c": "z + 16", "w": "c + 13", "y": "w + 12", "n": 17}, "premises": {"n": 17}, "target": "g"}, "answer": {"steps": [["s", "n + 7", 24], ["x", "s + 3", 27], ["f", "x ... | 171 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 13; p = q + 18; s = n + 7; k = d + 16; n = 17; z = p + 17; q = n + 17; y = w + 12; f = x + 11; c = z + 16; x = s + 3; g = k + 20; d = f + 16. If n = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = n + 7, which gives s = 24.\n2. Compute x using x = s + 3, which gives x = 27.\n3. Compute f using f = x + 11, which gives f = 38.\n4. Compute d using d = f + 16, which gives d = 54.\n5. Compute k using k = d + 16, whic... |
{"problem": {"rules": {"v": "c + 2", "o": "v + 12", "w": "o + 17", "z": "w + 14", "u": "z + 8", "e": "u + 5", "r": "c + 18", "l": "r + 14", "s": "l + 12", "d": "s + 20", "g": "d + 6", "i": "g + 5", "c": 18}, "premises": {"c": 18}, "target": "e"}, "answer": {"steps": [["v", "c + 2", 20], ["o", "v + 12", 32], ["w", "o + ... | 172 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 14; i = g + 5; v = c + 2; r = c + 18; s = l + 12; d = s + 20; w = o + 17; o = v + 12; e = u + 5; z = w + 14; c = 18; u = z + 8; g = d + 6. If c = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = c + 2, which gives v = 20.\n2. Compute o using o = v + 12, which gives o = 32.\n3. Compute w using w = o + 17, which gives w = 49.\n4. Compute z using z = w + 14, which gives z = 63.\n5. Compute u using u = z + 8, whic... |
{"problem": {"rules": {"m": "r + 19", "q": "m + 3", "o": "q + 11", "n": "o + 20", "g": "n + 13", "s": "g + 3", "l": "r + 7", "t": "l + 4", "b": "t + 13", "v": "b + 16", "h": "v + 13", "z": "h + 7", "r": 1}, "premises": {"r": 1}, "target": "s"}, "answer": {"steps": [["g", "n + 13", "n + 16"], ["n", "o + 20", "o + 36"], ... | 173 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 4; v = b + 16; m = r + 19; s = g + 3; l = r + 7; h = v + 13; q = m + 3; b = t + 13; o = q + 11; n = o + 20; z = h + 7; r = 1; g = n + 13. If r = 1, what is the resulting value of s?",
"role": "user"... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 13 to s, which gives s = n + 16.\n2. Substitute n = o + 20 to s, which gives s = o + 36.\n3. Substitute o = q + 11 to s, which gives s = q + 47.\n4. Substitute q = m + 3 to s, which gives s = m + 50.\n5. Substitute m = ... |
{"problem": {"rules": {"m": "n + 6", "z": "m + 9", "f": "z + 1", "s": "f + 4", "p": "s + 18", "u": "p + 17", "y": "n + 3", "d": "y + 4", "k": "d + 3", "a": "k + 14", "o": "a + 6", "g": "o + 19", "n": 10}, "premises": {"n": 10}, "target": "u"}, "answer": {"steps": [["p", "s + 18", "s + 35"], ["s", "f + 4", "f + 39"], ["... | 174 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 17; d = y + 4; m = n + 6; s = f + 4; f = z + 1; g = o + 19; k = d + 3; n = 10; o = a + 6; z = m + 9; a = k + 14; y = n + 3; p = s + 18. If n = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 18 to u, which gives u = s + 35.\n2. Substitute s = f + 4 to u, which gives u = f + 39.\n3. Substitute f = z + 1 to u, which gives u = z + 40.\n4. Substitute z = m + 9 to u, which gives u = m + 49.\n5. Substitute m = n ... |
{"problem": {"rules": {"o": "j + 5", "w": "o + 7", "c": "w + 10", "i": "c + 2", "l": "i + 19", "k": "l + 15", "v": "j + 1", "b": "v + 6", "n": "b + 17", "r": "n + 3", "h": "r + 6", "z": "h + 1", "j": 8}, "premises": {"j": 8}, "target": "k"}, "answer": {"steps": [["l", "i + 19", "i + 34"], ["i", "c + 2", "c + 36"], ["c"... | 175 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 1; b = v + 6; c = w + 10; l = i + 19; w = o + 7; h = r + 6; n = b + 17; r = n + 3; z = h + 1; o = j + 5; i = c + 2; k = l + 15; j = 8. Given that j = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 19 to k, which gives k = i + 34.\n2. Substitute i = c + 2 to k, which gives k = c + 36.\n3. Substitute c = w + 10 to k, which gives k = w + 46.\n4. Substitute w = o + 7 to k, which gives k = o + 53.\n5. Substitute o = j... |
{"problem": {"rules": {"c": "u + 6", "q": "c + 4", "k": "q + 3", "v": "k + 1", "f": "v + 14", "x": "f + 20", "h": "u + 13", "n": "h + 19", "e": "n + 15", "j": "e + 11", "l": "j + 7", "z": "l + 9", "u": 11}, "premises": {"u": 11}, "target": "x"}, "answer": {"steps": [["c", "u + 6", 17], ["q", "c + 4", 21], ["k", "q + 3"... | 176 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = q + 3; l = j + 7; u = 11; h = u + 13; v = k + 1; x = f + 20; n = h + 19; f = v + 14; e = n + 15; j = e + 11; c = u + 6; z = l + 9; q = c + 4. If u = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = u + 6, which gives c = 17.\n2. Compute q using q = c + 4, which gives q = 21.\n3. Compute k using k = q + 3, which gives k = 24.\n4. Compute v using v = k + 1, which gives v = 25.\n5. Compute f using f = v + 14, which ... |
{"problem": {"rules": {"r": "x + 13", "y": "r + 3", "c": "y + 20", "n": "c + 12", "z": "n + 18", "f": "z + 15", "d": "x + 12", "k": "d + 2", "q": "k + 13", "j": "q + 1", "w": "j + 5", "e": "w + 2", "x": 4}, "premises": {"x": 4}, "target": "f"}, "answer": {"steps": [["r", "x + 13", 17], ["y", "r + 3", 20], ["c", "y + 20... | 177 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 13; r = x + 13; e = w + 2; n = c + 12; c = y + 20; d = x + 12; w = j + 5; k = d + 2; j = q + 1; x = 4; z = n + 18; f = z + 15; y = r + 3. Given that x = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = x + 13, which gives r = 17.\n2. Compute y using y = r + 3, which gives y = 20.\n3. Compute c using c = y + 20, which gives c = 40.\n4. Compute n using n = c + 12, which gives n = 52.\n5. Compute z using z = n + 18, whi... |
{"problem": {"rules": {"g": "b + 4", "z": "g + 4", "i": "z + 20", "t": "i + 1", "c": "t + 3", "y": "c + 7", "s": "b + 19", "o": "s + 2", "m": "o + 12", "f": "m + 9", "l": "f + 7", "a": "l + 15", "b": 4}, "premises": {"b": 4}, "target": "y"}, "answer": {"steps": [["c", "t + 3", "t + 10"], ["t", "i + 1", "i + 11"], ["i",... | 178 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 20; z = g + 4; l = f + 7; a = l + 15; c = t + 3; t = i + 1; g = b + 4; m = o + 12; y = c + 7; f = m + 9; b = 4; o = s + 2; s = b + 19. If b = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 3 to y, which gives y = t + 10.\n2. Substitute t = i + 1 to y, which gives y = i + 11.\n3. Substitute i = z + 20 to y, which gives y = z + 31.\n4. Substitute z = g + 4 to y, which gives y = g + 35.\n5. Substitute g = b ... |
{"problem": {"rules": {"k": "t + 4", "e": "k + 2", "m": "e + 2", "f": "m + 8", "a": "f + 17", "g": "a + 11", "u": "t + 2", "p": "u + 1", "b": "p + 11", "w": "b + 5", "z": "w + 16", "r": "z + 18", "t": 2}, "premises": {"t": 2}, "target": "g"}, "answer": {"steps": [["k", "t + 4", 6], ["e", "k + 2", 8], ["m", "e + 2", 10]... | 179 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 8; m = e + 2; a = f + 17; b = p + 11; p = u + 1; g = a + 11; r = z + 18; u = t + 2; k = t + 4; e = k + 2; t = 2; z = w + 16; w = b + 5. Given that t = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = t + 4, which gives k = 6.\n2. Compute e using e = k + 2, which gives e = 8.\n3. Compute m using m = e + 2, which gives m = 10.\n4. Compute f using f = m + 8, which gives f = 18.\n5. Compute a using a = f + 17, which gi... |
{"problem": {"rules": {"x": "z + 2", "a": "x + 1", "o": "a + 18", "r": "o + 9", "b": "r + 20", "p": "b + 13", "t": "z + 11", "n": "t + 2", "q": "n + 14", "m": "q + 9", "k": "m + 11", "g": "k + 4", "z": 16}, "premises": {"z": 16}, "target": "p"}, "answer": {"steps": [["b", "r + 20", "r + 33"], ["r", "o + 9", "o + 42"], ... | 180 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 11; k = m + 11; z = 16; b = r + 20; n = t + 2; a = x + 1; o = a + 18; q = n + 14; m = q + 9; p = b + 13; r = o + 9; g = k + 4; x = z + 2. If z = 16, what is the resulting value of p?",
"role": "user... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 20 to p, which gives p = r + 33.\n2. Substitute r = o + 9 to p, which gives p = o + 42.\n3. Substitute o = a + 18 to p, which gives p = a + 60.\n4. Substitute a = x + 1 to p, which gives p = x + 61.\n5. Substitute x = z... |
{"problem": {"rules": {"b": "i + 16", "j": "b + 13", "o": "j + 14", "x": "o + 9", "h": "x + 20", "n": "h + 11", "k": "i + 14", "l": "k + 15", "y": "l + 6", "w": "y + 11", "e": "w + 7", "r": "e + 20", "i": 7}, "premises": {"i": 7}, "target": "n"}, "answer": {"steps": [["h", "x + 20", "x + 31"], ["x", "o + 9", "o + 40"],... | 181 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 15; k = i + 14; n = h + 11; x = o + 9; o = j + 14; e = w + 7; b = i + 16; j = b + 13; y = l + 6; r = e + 20; w = y + 11; i = 7; h = x + 20. Given that i = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 20 to n, which gives n = x + 31.\n2. Substitute x = o + 9 to n, which gives n = o + 40.\n3. Substitute o = j + 14 to n, which gives n = j + 54.\n4. Substitute j = b + 13 to n, which gives n = b + 67.\n5. Substitute b = ... |
{"problem": {"rules": {"f": "c + 4", "y": "f + 10", "d": "y + 16", "n": "d + 9", "o": "n + 20", "z": "o + 11", "j": "c + 3", "t": "j + 5", "w": "t + 9", "e": "w + 4", "r": "e + 2", "m": "r + 16", "c": 20}, "premises": {"c": 20}, "target": "z"}, "answer": {"steps": [["o", "n + 20", "n + 31"], ["n", "d + 9", "d + 40"], [... | 182 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 9; n = d + 9; o = n + 20; j = c + 3; c = 20; f = c + 4; y = f + 10; e = w + 4; r = e + 2; d = y + 16; m = r + 16; t = j + 5; z = o + 11. If c = 20, what is the resulting value of z?",
"role": "user"... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 20 to z, which gives z = n + 31.\n2. Substitute n = d + 9 to z, which gives z = d + 40.\n3. Substitute d = y + 16 to z, which gives z = y + 56.\n4. Substitute y = f + 10 to z, which gives z = f + 66.\n5. Substitute f = ... |
{"problem": {"rules": {"g": "n + 12", "y": "g + 9", "l": "y + 2", "b": "l + 10", "s": "b + 18", "m": "s + 12", "e": "n + 1", "f": "e + 20", "p": "f + 6", "a": "p + 13", "v": "a + 7", "j": "v + 4", "n": 19}, "premises": {"n": 19}, "target": "m"}, "answer": {"steps": [["g", "n + 12", 31], ["y", "g + 9", 40], ["l", "y + 2... | 183 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 13; l = y + 2; v = a + 7; s = b + 18; p = f + 6; m = s + 12; y = g + 9; e = n + 1; n = 19; b = l + 10; f = e + 20; g = n + 12; j = v + 4. Given that n = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = n + 12, which gives g = 31.\n2. Compute y using y = g + 9, which gives y = 40.\n3. Compute l using l = y + 2, which gives l = 42.\n4. Compute b using b = l + 10, which gives b = 52.\n5. Compute s using s = b + 18, whic... |
{"problem": {"rules": {"b": "n + 3", "h": "b + 19", "l": "h + 20", "a": "l + 9", "t": "a + 2", "y": "t + 1", "k": "n + 19", "r": "k + 16", "z": "r + 6", "c": "z + 19", "q": "c + 3", "g": "q + 14", "n": 12}, "premises": {"n": 12}, "target": "y"}, "answer": {"steps": [["b", "n + 3", 15], ["h", "b + 19", 34], ["l", "h + 2... | 184 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 19; q = c + 3; b = n + 3; l = h + 20; z = r + 6; c = z + 19; n = 12; t = a + 2; g = q + 14; h = b + 19; r = k + 16; a = l + 9; y = t + 1. If n = 12, what is the resulting value of y?",
"role": "user... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = n + 3, which gives b = 15.\n2. Compute h using h = b + 19, which gives h = 34.\n3. Compute l using l = h + 20, which gives l = 54.\n4. Compute a using a = l + 9, which gives a = 63.\n5. Compute t using t = a + 2, which... |
{"problem": {"rules": {"x": "o + 20", "c": "x + 8", "l": "c + 18", "i": "l + 15", "a": "i + 18", "w": "a + 15", "n": "o + 18", "p": "n + 18", "u": "p + 17", "m": "u + 5", "q": "m + 9", "k": "q + 15", "o": 9}, "premises": {"o": 9}, "target": "w"}, "answer": {"steps": [["x", "o + 20", 29], ["c", "x + 8", 37], ["l", "c + ... | 185 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 5; i = l + 15; x = o + 20; c = x + 8; a = i + 18; n = o + 18; u = p + 17; q = m + 9; k = q + 15; p = n + 18; w = a + 15; l = c + 18; o = 9. If o = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 20, which gives x = 29.\n2. Compute c using c = x + 8, which gives c = 37.\n3. Compute l using l = c + 18, which gives l = 55.\n4. Compute i using i = l + 15, which gives i = 70.\n5. Compute a using a = i + 18, whi... |
{"problem": {"rules": {"p": "y + 1", "o": "p + 17", "r": "o + 17", "m": "r + 16", "f": "m + 2", "w": "f + 12", "h": "y + 19", "x": "h + 10", "t": "x + 8", "l": "t + 14", "u": "l + 12", "k": "u + 12", "y": 7}, "premises": {"y": 7}, "target": "w"}, "answer": {"steps": [["f", "m + 2", "m + 14"], ["m", "r + 16", "r + 30"],... | 186 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 2; o = p + 17; u = l + 12; w = f + 12; k = u + 12; r = o + 17; t = x + 8; p = y + 1; h = y + 19; m = r + 16; l = t + 14; x = h + 10; y = 7. If y = 7, what is the resulting value of w?",
"role": "use... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 2 to w, which gives w = m + 14.\n2. Substitute m = r + 16 to w, which gives w = r + 30.\n3. Substitute r = o + 17 to w, which gives w = o + 47.\n4. Substitute o = p + 17 to w, which gives w = p + 64.\n5. Substitute p = ... |
{"problem": {"rules": {"x": "n + 11", "l": "x + 6", "t": "l + 1", "u": "t + 6", "o": "u + 12", "m": "o + 5", "s": "n + 1", "p": "s + 10", "i": "p + 6", "h": "i + 9", "k": "h + 19", "w": "k + 16", "n": 18}, "premises": {"n": 18}, "target": "m"}, "answer": {"steps": [["o", "u + 12", "u + 17"], ["u", "t + 6", "t + 23"], [... | 187 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 6; w = k + 16; k = h + 19; x = n + 11; h = i + 9; n = 18; t = l + 1; s = n + 1; m = o + 5; p = s + 10; u = t + 6; o = u + 12; l = x + 6. If n = 18, what is the resulting value of m?",
"role": "user"... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 12 to m, which gives m = u + 17.\n2. Substitute u = t + 6 to m, which gives m = t + 23.\n3. Substitute t = l + 1 to m, which gives m = l + 24.\n4. Substitute l = x + 6 to m, which gives m = x + 30.\n5. Substitute x = n ... |
{"problem": {"rules": {"e": "k + 6", "v": "e + 19", "c": "v + 17", "n": "c + 2", "a": "n + 12", "i": "a + 4", "r": "k + 9", "u": "r + 14", "b": "u + 8", "h": "b + 4", "f": "h + 13", "o": "f + 15", "k": 17}, "premises": {"k": 17}, "target": "i"}, "answer": {"steps": [["a", "n + 12", "n + 16"], ["n", "c + 2", "c + 18"], ... | 188 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = k + 9; u = r + 14; e = k + 6; v = e + 19; i = a + 4; o = f + 15; c = v + 17; f = h + 13; k = 17; h = b + 4; b = u + 8; a = n + 12; n = c + 2. Given that k = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 12 to i, which gives i = n + 16.\n2. Substitute n = c + 2 to i, which gives i = c + 18.\n3. Substitute c = v + 17 to i, which gives i = v + 35.\n4. Substitute v = e + 19 to i, which gives i = e + 54.\n5. Substitute e = ... |
{"problem": {"rules": {"c": "u + 3", "k": "c + 12", "r": "k + 15", "y": "r + 9", "s": "y + 3", "d": "s + 19", "i": "u + 3", "v": "i + 7", "o": "v + 13", "e": "o + 12", "n": "e + 13", "g": "n + 4", "u": 13}, "premises": {"u": 13}, "target": "d"}, "answer": {"steps": [["s", "y + 3", "y + 22"], ["y", "r + 9", "r + 31"], [... | 189 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 3; s = y + 3; o = v + 13; e = o + 12; r = k + 15; g = n + 4; d = s + 19; n = e + 13; u = 13; v = i + 7; k = c + 12; c = u + 3; y = r + 9. If u = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 3 to d, which gives d = y + 22.\n2. Substitute y = r + 9 to d, which gives d = r + 31.\n3. Substitute r = k + 15 to d, which gives d = k + 46.\n4. Substitute k = c + 12 to d, which gives d = c + 58.\n5. Substitute c = u... |
{"problem": {"rules": {"w": "h + 3", "k": "w + 20", "l": "k + 19", "x": "l + 20", "d": "x + 12", "p": "d + 19", "e": "h + 4", "a": "e + 3", "z": "a + 10", "u": "z + 3", "r": "u + 17", "q": "r + 3", "h": 9}, "premises": {"h": 9}, "target": "p"}, "answer": {"steps": [["w", "h + 3", 12], ["k", "w + 20", 32], ["l", "k + 19... | 190 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 10; r = u + 17; q = r + 3; w = h + 3; h = 9; a = e + 3; u = z + 3; e = h + 4; x = l + 20; d = x + 12; l = k + 19; k = w + 20; p = d + 19. Given that h = 9, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = h + 3, which gives w = 12.\n2. Compute k using k = w + 20, which gives k = 32.\n3. Compute l using l = k + 19, which gives l = 51.\n4. Compute x using x = l + 20, which gives x = 71.\n5. Compute d using d = x + 12, whi... |
{"problem": {"rules": {"g": "n + 12", "i": "g + 3", "m": "i + 2", "r": "m + 11", "w": "r + 11", "h": "w + 17", "e": "n + 18", "b": "e + 11", "a": "b + 12", "o": "a + 19", "t": "o + 19", "c": "t + 13", "n": 20}, "premises": {"n": 20}, "target": "h"}, "answer": {"steps": [["g", "n + 12", 32], ["i", "g + 3", 35], ["m", "i... | 191 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 17; b = e + 11; n = 20; o = a + 19; e = n + 18; i = g + 3; a = b + 12; g = n + 12; w = r + 11; t = o + 19; r = m + 11; c = t + 13; m = i + 2. If n = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = n + 12, which gives g = 32.\n2. Compute i using i = g + 3, which gives i = 35.\n3. Compute m using m = i + 2, which gives m = 37.\n4. Compute r using r = m + 11, which gives r = 48.\n5. Compute w using w = r + 11, whic... |
{"problem": {"rules": {"p": "m + 2", "j": "p + 6", "g": "j + 15", "u": "g + 6", "b": "u + 20", "e": "b + 11", "k": "m + 19", "z": "k + 8", "c": "z + 3", "v": "c + 7", "o": "v + 12", "d": "o + 17", "m": 12}, "premises": {"m": 12}, "target": "e"}, "answer": {"steps": [["b", "u + 20", "u + 31"], ["u", "g + 6", "g + 37"], ... | 192 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 8; k = m + 19; m = 12; o = v + 12; d = o + 17; b = u + 20; e = b + 11; u = g + 6; p = m + 2; v = c + 7; j = p + 6; g = j + 15; c = z + 3. If m = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 20 to e, which gives e = u + 31.\n2. Substitute u = g + 6 to e, which gives e = g + 37.\n3. Substitute g = j + 15 to e, which gives e = j + 52.\n4. Substitute j = p + 6 to e, which gives e = p + 58.\n5. Substitute p = m... |
{"problem": {"rules": {"e": "j + 13", "g": "e + 20", "y": "g + 7", "n": "y + 6", "a": "n + 8", "v": "a + 4", "h": "j + 20", "i": "h + 5", "o": "i + 10", "s": "o + 1", "x": "s + 2", "z": "x + 14", "j": 18}, "premises": {"j": 18}, "target": "v"}, "answer": {"steps": [["e", "j + 13", 31], ["g", "e + 20", 51], ["y", "g + 7... | 193 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 1; h = j + 20; z = x + 14; x = s + 2; o = i + 10; j = 18; i = h + 5; n = y + 6; a = n + 8; v = a + 4; g = e + 20; y = g + 7; e = j + 13. Given that j = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = j + 13, which gives e = 31.\n2. Compute g using g = e + 20, which gives g = 51.\n3. Compute y using y = g + 7, which gives y = 58.\n4. Compute n using n = y + 6, which gives n = 64.\n5. Compute a using a = n + 8, which... |
{"problem": {"rules": {"q": "x + 8", "k": "q + 9", "r": "k + 16", "m": "r + 14", "n": "m + 19", "f": "n + 18", "a": "x + 4", "i": "a + 18", "c": "i + 12", "y": "c + 11", "v": "y + 9", "g": "v + 4", "x": 10}, "premises": {"x": 10}, "target": "f"}, "answer": {"steps": [["q", "x + 8", 18], ["k", "q + 9", 27], ["r", "k + 1... | 194 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 14; i = a + 18; g = v + 4; f = n + 18; a = x + 4; y = c + 11; r = k + 16; n = m + 19; c = i + 12; x = 10; v = y + 9; k = q + 9; q = x + 8. Given that x = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = x + 8, which gives q = 18.\n2. Compute k using k = q + 9, which gives k = 27.\n3. Compute r using r = k + 16, which gives r = 43.\n4. Compute m using m = r + 14, which gives m = 57.\n5. Compute n using n = m + 19, whic... |
{"problem": {"rules": {"y": "k + 17", "j": "y + 4", "u": "j + 15", "b": "u + 19", "d": "b + 12", "r": "d + 1", "x": "k + 11", "p": "x + 14", "h": "p + 8", "t": "h + 3", "v": "t + 2", "f": "v + 9", "k": 10}, "premises": {"k": 10}, "target": "r"}, "answer": {"steps": [["y", "k + 17", 27], ["j", "y + 4", 31], ["u", "j + 1... | 195 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 17; k = 10; r = d + 1; t = h + 3; d = b + 12; f = v + 9; h = p + 8; p = x + 14; u = j + 15; v = t + 2; j = y + 4; b = u + 19; x = k + 11. If k = 10, what is the resulting value of r?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = k + 17, which gives y = 27.\n2. Compute j using j = y + 4, which gives j = 31.\n3. Compute u using u = j + 15, which gives u = 46.\n4. Compute b using b = u + 19, which gives b = 65.\n5. Compute d using d = b + 12, whi... |
{"problem": {"rules": {"x": "a + 11", "z": "x + 3", "n": "z + 10", "k": "n + 7", "h": "k + 19", "l": "h + 9", "r": "a + 7", "s": "r + 4", "j": "s + 16", "o": "j + 12", "g": "o + 8", "t": "g + 6", "a": 5}, "premises": {"a": 5}, "target": "l"}, "answer": {"steps": [["x", "a + 11", 16], ["z", "x + 3", 19], ["n", "z + 10",... | 196 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 9; t = g + 6; k = n + 7; n = z + 10; g = o + 8; a = 5; r = a + 7; o = j + 12; h = k + 19; s = r + 4; j = s + 16; x = a + 11; z = x + 3. Given that a = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = a + 11, which gives x = 16.\n2. Compute z using z = x + 3, which gives z = 19.\n3. Compute n using n = z + 10, which gives n = 29.\n4. Compute k using k = n + 7, which gives k = 36.\n5. Compute h using h = k + 19, whic... |
{"problem": {"rules": {"q": "a + 13", "l": "q + 4", "n": "l + 18", "d": "n + 4", "u": "d + 16", "t": "u + 10", "g": "a + 19", "b": "g + 16", "k": "b + 16", "y": "k + 5", "s": "y + 6", "w": "s + 6", "a": 2}, "premises": {"a": 2}, "target": "t"}, "answer": {"steps": [["q", "a + 13", 15], ["l", "q + 4", 19], ["n", "l + 18... | 197 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 6; w = s + 6; k = b + 16; q = a + 13; a = 2; b = g + 16; t = u + 10; g = a + 19; u = d + 16; n = l + 18; y = k + 5; l = q + 4; d = n + 4. If a = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = a + 13, which gives q = 15.\n2. Compute l using l = q + 4, which gives l = 19.\n3. Compute n using n = l + 18, which gives n = 37.\n4. Compute d using d = n + 4, which gives d = 41.\n5. Compute u using u = d + 16, whic... |
{"problem": {"rules": {"y": "u + 19", "f": "y + 14", "h": "f + 19", "x": "h + 9", "a": "x + 20", "r": "a + 15", "d": "u + 1", "s": "d + 20", "m": "s + 15", "k": "m + 2", "b": "k + 6", "e": "b + 4", "u": 8}, "premises": {"u": 8}, "target": "r"}, "answer": {"steps": [["y", "u + 19", 27], ["f", "y + 14", 41], ["h", "f + 1... | 198 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 19; f = y + 14; s = d + 20; b = k + 6; e = b + 4; u = 8; h = f + 19; r = a + 15; k = m + 2; x = h + 9; d = u + 1; m = s + 15; a = x + 20. Given that u = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = u + 19, which gives y = 27.\n2. Compute f using f = y + 14, which gives f = 41.\n3. Compute h using h = f + 19, which gives h = 60.\n4. Compute x using x = h + 9, which gives x = 69.\n5. Compute a using a = x + 20, whi... |
{"problem": {"rules": {"g": "n + 5", "p": "g + 5", "a": "p + 18", "k": "a + 17", "r": "k + 15", "y": "r + 17", "i": "n + 11", "q": "i + 16", "o": "q + 7", "d": "o + 13", "v": "d + 18", "h": "v + 14", "n": 15}, "premises": {"n": 15}, "target": "y"}, "answer": {"steps": [["g", "n + 5", 20], ["p", "g + 5", 25], ["a", "p +... | 199 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 18; h = v + 14; q = i + 16; r = k + 15; k = a + 17; n = 15; y = r + 17; i = n + 11; p = g + 5; d = o + 13; o = q + 7; g = n + 5; a = p + 18. If n = 15, what is the resulting value of y?",
"role": "u... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = n + 5, which gives g = 20.\n2. Compute p using p = g + 5, which gives p = 25.\n3. Compute a using a = p + 18, which gives a = 43.\n4. Compute k using k = a + 17, which gives k = 60.\n5. Compute r using r = k + 15, whic... |
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